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Finding the Fourth Proportional to 9,474.45, 13,074.45 and 5,282.70

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Solution

The fourth proportional to 9,474.45, 13,074.45 and 5,282.70 is: 7,289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.45 : 13,074.45 = 5,282.70 : x
  2. Step 2: Convert to fraction form
    9,474.45/13,074.45 = 5,282.70/x
  3. Step 3: Cross multiply
    9,474.45x = 13,074.45 × 5,282.70
  4. Step 4: Simplify right side
    9,474.45x = 69,068,397.02
  5. Step 5: Solve for x
    x = 69,068,397.02/9,474.45
  6. Step 6: Final answer
    x = 7,289.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.